Which graph represents the solutions to this inequality: 5n−3<3(n+1)
(1 point)
Responses
The correct graph would have an open circle at the point where the inequality sign changes and a dashed line to indicate that the solution is not inclusive of the boundary point. The shaded region would be to the left of the line.
To determine the graph that represents the solutions to the inequality 5n - 3 < 3(n + 1), we can start by simplifying the inequality:
5n - 3 < 3n + 3
Next, let's isolate the variable n on one side of the inequality:
5n - 3n < 3 + 3
2n < 6
Now, let's divide both sides of the inequality by 2 to solve for n:
2n/2 < 6/2
n < 3
Therefore, the solution to the inequality is that n is less than 3.
To represent this graphically, draw a number line and mark a point at 3. Then, shade the left side of the number line, indicating that n is less than 3.